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Select the correct answerThe income of A, B, and C are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of A is 50% increased, 25% increased for B and 25% decrease for C. Find the ratio of their new incomes.Options18 : 40 : 2318 : 20 : 2128 : 20 : 2117 : 12 : 21

Question

Select the correct answerThe income of A, B, and C are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of A is 50% increased, 25% increased for B and 25% decrease for C. Find the ratio of their new incomes.Options18 : 40 : 2318 : 20 : 2128 : 20 : 2117 : 12 : 21

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Solution

To solve this problem, we first need to understand the initial ratio of the incomes of A, B, and C, which is 3:4:7.

Let's assume the initial incomes of A, B, and C to be 3x, 4x, and 7x respectively.

According to the problem, the new income of A is increased by 50%. So, the new income of A = 3x + 50% of 3x = 3x + 1.5x = 4.5x.

The new income of B is increased by 25%. So, the new income of B = 4x + 25% of 4x = 4x + 1x = 5x.

The new income of C is decreased by 25%. So, the new income of C = 7x - 25% of 7x = 7x - 1.75x = 5.25x.

So, the new ratio of their incomes is 4.5x : 5x : 5.25x.

To simplify this ratio, we can multiply each term by 4 to get rid of the decimal. This gives us 18x : 20x : 21x.

So, the new ratio of their incomes is 18 : 20 : 21.

Therefore, the correct answer is "18 : 20 : 21".

This problem has been solved

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